25 citations · 25 across the 8 of their papers we have counts for
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math.ST2021
On asymptotic behavior of the prediction error for a class of deterministic stationary sequences
Nikolay M. Babayan, Mamikon S. Ginovyan
One of the main problem in prediction theory of stationary processes is to describe the asymptotic behavior of the best linear mean squared prediction error in predicting $X…
math.ST2021
Statistical inference for stationary linear models with tapered data
Mamikon S. Ginovyan, Artur A. Sahakyan
In this paper, we survey some recent results on statistical inference (parametric and nonparametric statistical estimation, hypotheses testing) about the spectrum of stationary mod…
math.PR2021
A Survey on Limit Theorems for Toeplitz Type Quadratic Functionals of Stationary Processes and Applications
Mamikon S. Ginovyan, Murad S. Taqqu
This is a survey of recent results on central and non-central limit theorems for quadratic functionals of stationary processes. The underlying processes are Gaussian, linear or Lév…